SMS scnews item created by Kevin Coulembier at Sat 11 Jun 2016 1509
Type: Seminar
Distribution: World
Expiry: 23 Jul 2016
Calendar1: 24 Jun 2016 1200-1300
CalLoc1: Carslaw 375
CalTitle1: 2-hereditary algebras and almost Fano weighted projective surfaces
Auth: kevinc@pkevinc.pc (assumed)

# Algebra Seminar: Chan -- 2-hereditary algebras and almost Fano weighted projective surfaces

Daniel Chan (University of New South Wales)

Friday 24 June, 12-1pm, Place: Carslaw 375

2-hereditary algebras and almost Fano weighted projective surfaces

Tame hereditary algebras are a classical objects of study in the
representation theory of finite dimensional algebras. They include
path algebras of extended Dynkin quivers as examples. In the 1980’s,
Geigle and Lenzing gave an intriguing approach to studying their
representation theory by showing that, up to Morita equivalence,
they are classified by certain non-commutative analogues of the
projective line, namely the Fano weighted projective lines.
Furthermore, the nice representation theory of tame hereditary
algebras could be deduced from the nice module theory of the
corresponding weighted line via tilting theory. In this talk, we will
examine a dimension 2 generalisation of this picture as introduced
by Iyama and his school in the last decade.


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